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STEP Support Programme

Assignment 5 warm down

For the proof for 4 iii i wrote "for n pair of socks you need at least 2n socks. However if we take 2n socks there can be 2 unmatched colours. Therefore we need to take 2n+1 socks. The next one we choose has to match with one of the unmatched ones." Would this be enough? Should i add something else?

I think you might need a little bit more justification why there could be 2 unmatched colours if you take $2n$ socks. Explicitly writing out the different cases should be sufficient. Have a look at the hints and partial solutions for more guidance.

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University of Cambridge Admissions Office: Undergraduate course information for Mathematics

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